Continuity over edges in Finite Elements












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For lagrange 2D elements if we have two connected triangels $K$ and $K^{prime}$ ; What does the continuity over the edges means and how to prove it in terms of polynomials !



The local ansatz space is enter image description here$P_K={P_1(K)=a+by+cy, a,b,c in R}$
dim P_1(K)=3










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    0












    $begingroup$


    For lagrange 2D elements if we have two connected triangels $K$ and $K^{prime}$ ; What does the continuity over the edges means and how to prove it in terms of polynomials !



    The local ansatz space is enter image description here$P_K={P_1(K)=a+by+cy, a,b,c in R}$
    dim P_1(K)=3










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      For lagrange 2D elements if we have two connected triangels $K$ and $K^{prime}$ ; What does the continuity over the edges means and how to prove it in terms of polynomials !



      The local ansatz space is enter image description here$P_K={P_1(K)=a+by+cy, a,b,c in R}$
      dim P_1(K)=3










      share|cite|improve this question











      $endgroup$




      For lagrange 2D elements if we have two connected triangels $K$ and $K^{prime}$ ; What does the continuity over the edges means and how to prove it in terms of polynomials !



      The local ansatz space is enter image description here$P_K={P_1(K)=a+by+cy, a,b,c in R}$
      dim P_1(K)=3







      numerical-methods






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Jan 8 at 14:36







      Farhan

















      asked Jan 8 at 14:10









      FarhanFarhan

      547




      547






















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